%I
%S 4096,531441,244140625,13841287201,3138428376721,23298085122481,
%T 582622237229761,2213314919066161,21914624432020321,
%U 353814783205469041,787662783788549761,6582952005840035281
%N Numbers with 13 divisors.
%C 12th powers of primes. The nth number with p divisors is equal to the nth prime raised to power p1, where p is prime.  _Omar E. Pol_, May 06 2008
%C Solutions of the equation n'=12*n^(11/12), where n' is the arithmetic derivative of n.  _Paolo P. Lava_, Oct 31 2012
%H R. J. Mathar, <a href="/A030631/b030631.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n)=A000040(n)^(131)=A000040(n)^(12).  _Omar E. Pol_, May 06 2008
%t (Prime@Range@30)^12 (* _Vladimir Joseph Stephan Orlovsky_, Apr 11 2011 *)
%o (MAGMA) [p^12: p in PrimesUpTo(100)]; // _Vincenzo Librandi_, Mar 27 2014
%o (PARI) is(n)=isprimepower(n)==12 \\ _Charles R Greathouse IV_, Jun 19 2016
%Y Cf. A000040, A030629.
%Y Subsequence of A008456.
%K nonn,easy
%O 1,1
%A _Jeff Burch_
